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Simplifying 0.66(6x + -9) + 4 = 5x + 1 Reorder the terms: 0.66(-9 + 6x) + 4 = 5x + 1 (-9 * 0.66 + 6x * 0.66) + 4 = 5x + 1 (-5.94 + 3.96x) + 4 = 5x + 1 Reorder the terms: -5.94 + 4 + 3.96x = 5x + 1 Combine like terms: -5.94 + 4 = -1.94 -1.94 + 3.96x = 5x + 1 Reorder the terms: -1.94 + 3.96x = 1 + 5x Solving -1.94 + 3.96x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1.94 + 3.96x + -5x = 1 + 5x + -5x Combine like terms: 3.96x + -5x = -1.04x -1.94 + -1.04x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -1.94 + -1.04x = 1 + 0 -1.94 + -1.04x = 1 Add '1.94' to each side of the equation. -1.94 + 1.94 + -1.04x = 1 + 1.94 Combine like terms: -1.94 + 1.94 = 0.00 0.00 + -1.04x = 1 + 1.94 -1.04x = 1 + 1.94 Combine like terms: 1 + 1.94 = 2.94 -1.04x = 2.94 Divide each side by '-1.04'. x = -2.826923077 Simplifying x = -2.826923077
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